Interaction of Polyatomic Molecules with free electron lasers

Lead Research Organisation: University College London
Department Name: Physics and Astronomy

Abstract

Free-Electron Lasers (FEL) are new Light Sources which are promising to bring a revolution in our understanding of electron and nuclear dynamics inside driven complex molecules$^{[1]}$.
FEL-pulses are orders of magnitude more intense than the pulses provided by conventional synchrotron radiation sources. FELs have short duration and short-wavelength, ranging from XUV pulses of a few eV to hard Xrays of a few thousand eV. These properties cause the laser to boil away the electrons from the inside out, a fascinating aspect of the interaction of matter with FEL-radiation. That is, when molecules interact with FELs, inner-shell electrons are ionized by single-photon absorption, creating an inner-shell hole. As a result, an Auger process takes place with an outer-shell electron dropping to fill in this hole and another outer-shell electron ionizing. Multiple sequential single-photon ionization (SPI) processes and cascades of Auger transitions take place. This fast electronic re-arrangement leads to the formation of exotic forms of matter, that is, novel, far from equilibrium, states with multiple inner-shell holes. It also results in the Coulomb explosion of the nuclei, i.e. break-up of the molecule, on a femtosecond timescale which is slow compared to the attosecond motion of the electrons. {\it Thus, FELs open new horizons for probing and controlling the attosecond motion of inner-shell electrons in processes far from equilibrium paving the way for revealing fundamental processes in chemical reactions, biological molecules and matter under extreme conditions, for instance, deep inside planets. }

We will explore the interplay of Auger and single-photon ionization processes in FEL-driven multi-center molecules.
{\it We will also study a fascinating phenomenon, namely, charge redistribution which takes place once an inner-shell electron ionizes primarily from the site of the heavier atom embedded in small multi-center molecules$^{[10]}$. Moreover, we will investigate how to control and enhance charge redistribution by varying the parameters of the FEL-pulse}. Hence, our studies will be instrumental in controlling electron transfer which is required for efficient exchange, conversion and storage of energy in fuel cells, in molecular scale devices and in long-range charge transport in DNA.

{\it We will investigate how to ``clock" the ionization and the fragmentation dynamics of FEL-driven diatomic molecules$^{[7]}$}.
The time and the inter-nuclear distance when Auger and SPI processes take place determine the kinetic energies of the final highly charged atomic ion fragments. We will explore how to change these times and distances in order to control the percentage contribution of the final atomic ions as well as their kinetic energies by varying the parameters of the FEL-pulse. Thus, our studies will significantly contribute towards controlling chemical reactions with unprecedented temporal resolution, which is a problem at the forefront of laser-matter interactions.

Publications

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Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/R513143/1 01/10/2018 30/09/2023
2419551 Studentship EP/R513143/1 28/09/2020 27/09/2024 Miles Mountney
 
Description Photoionization is a fundamental mechanism underlying the interaction of molecules with intense pulses of high photon energy produced by free-electron lasers. In this work, we mathematically formulated and computationally implemented a theoretical quantum mechanical technique to obtain the probabilities for electrons to be ejected from a molecule in any direction, as well as for any direction of the molecule with respect to the high energy XUV linearly polarized pulse. Then, using a small photon energy, low intensity pulse, we proposed a scheme to control the final angle of electron ejection from the molecule by changing the delay between the small and high photon energy pulses.
Exploitation Route Our mathematical formulation and its details were published as a Physical Review A paper, so scientists in the attosecond and laser-matter interaction communities can use our formulation for the study of molecules with free-electron lasers.
Sectors Digital/Communication/Information Technologies (including Software),Education

 
Description The findings of my research were presented in Cambridge to a broad undergraduate audience, educating them on the fundamental phenomena governing laser-matter interactions.
First Year Of Impact 2022
Sector Digital/Communication/Information Technologies (including Software),Education
Impact Types Societal

 
Title Accurate calculation of continuum wavefunctions and dipole matrix elements and implementation of angular dependence on dipole matrix elements 
Description Developed a state-of-the-art tool for calculation of continuum wavefunctions and dipole matrix elements. Mathematically formulated dipole matrix elements dependent on the angular distribution of electron ionization and molecular orientation. This was then implemented computationally. 
Type Of Material Improvements to research infrastructure 
Year Produced 2022 
Provided To Others? Yes  
Impact The computation of continuum wavefunctions and dipole matrix elements allows us to accurately simulate photon-matter interactions such as photoionization and Auger decay. This opens the possibility to explore more scenarios, such as the simulation of more complex molecules. Angular dependence allows us to consider new procedures such as electron control and calculation of Wigner time delays. 
 
Title Mapping the direction of electron ionization to phase delay between VUV and IR laser pulses 
Description We theoretically demonstrate a one-to-one mapping between the direction of electron ionization and the phase delay between a linearly polarized VUV and a circular IR laser pulse. To achieve this, we use an ultrashort VUV pulse that defines the moment in time and space when an above threshold electron is released in the IR pulse. The electron can then be accelerated to high velocities escaping in a direction completely determined by the phase delay between the two pulses. The dipole matrix element to transition from an initial bound state of the N$_2$ molecule, considered in this work, to the continuum is obtained using quantum mechanical techniques that involve computing accurate continuum molecular states. Following release of the electron in the IR pulse, we evolve classical trajectories, neglecting the Coulomb potential and accounting for quantum interference, to compute the distribution of the direction and magnitude of the final electron momentum. The concept we theoretically develop can be implemented to produce nanoscale ring currents that generate large magnetic fields. 
Type Of Material Database/Collection of data 
Year Produced 2022 
Provided To Others? Yes  
Impact The theory in this paper allows us to model the angular distribution of any molecule at any orientation. For example, this could allow us to calculate Wigner time delays for any molecule. 
URL https://arxiv.org/abs/2206.02595
 
Description University of Ottawa 
Organisation University of Ottawa
Country Canada 
Sector Academic/University 
PI Contribution Devising optical techniques for generating large magnetic fields (THz magnitude) with sufficient spatial and temporal precision to be useful for small devices is a frontier of ultrafast science. Currents techniques utilize infrared laser pulses, but this does not generate a particularly strong electron current. In this collaboration, we devised theoretically a new technique for control of electron currents using a linearly polarized vacuum ultraviolet pulse and a circularly polarized infrared pulse. We provided the expressions for the dipole matrix elements for an electron ionizing due to a VUV pulse, techniques for computation of accurate continuum wavefunctions and the expressions for the amplitude of an electron streaked by the infrared pulse.
Collaborator Contribution The collaborators The University of Ottawa were all experimentalists. They contributed their knowledge of control of electron ionization, including current experimental techniques used to accomplish this task and the experimental feasibility of our theoretical model. They also provided us with some potential applications of the results of this technique, such as the production of light springs and control of coulombic decay.
Impact Resulted in the paper "Mapping the direction of electron ionization to phase delay between VUV and IR laser pulses" being published in Physical Reviews A.
Start Year 2021
 
Description "Research in the UK" event at Cambridge University 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Undergraduate students
Results and Impact Presented my research and what studying at UCL is like to maths and physics students at Cambridge University. The event was to showcase postgraduate research in maths and physics across the UK, as well as what it is like to study for a PhD. After the presentation, students chatted with me about my research, and I gave them general advice about pursuing postgraduate research.
Year(s) Of Engagement Activity 2022
URL http://www.damtp.cam.ac.uk/user/wl354/researchinuk2022/university/